mathematics

Gregory Eskin

Gregory Eskin is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Gregory Eskin rather than just read about it. In short: Gregory Eskin (Hebrew: גרגורי אסקין, Russian: Григорий Ильич Эскин; born 5 December 1936) is a Russian-Israeli-American mathematician, specializing in partial differential equations. Eskin received in 1963 his Ph.D.

Key takeaways

Gregory Eskin belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Gregory Eskin to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Gregory Eskin from memory before moving on to harder problems.

Reference excerpt

Gregory Eskin (Hebrew: גרגורי אסקין, Russian: Григорий Ильич Эскин; born 5 December 1936) is a Russian-Israeli-American mathematician, specializing in partial differential equations. Eskin received in 1963 his Ph.D. (Russian candidate's degree) from Moscow State University with thesis advisor Georgiy Shilov. In 1974 Eskin immigrated with his family to Israel and became a professor at the Hebrew University of Jerusalem. In 1983 he was an invited speaker at the International Congress of Mathematicians at Warsaw. In 1982 he with his family emigrated from Israel to the USA and he became a professor at UCLA. He was elected a Fellow of the American Mathematical Society in 2014. He is married to Marina Eskin, also a mathematician. Their son Alex is a professor of mathematics at the University of Chicago, their other son Eleazar is a professor of computer science and human genetics at UCLA, and their daughter Ascia is a researcher in the Department of Human Genetics, David Geffen UCLA School of Medicine.

Selected publications

Articles with Marko Iosifovich Vishik: Vishik, M. I.; Eskin, G. I. (1965). "Equations in convolutions in a bounded region". Russian Mathematical Surveys. 20 (3): 85–151. Bibcode:1965RuMaS..20...85V. doi:10.1070/RM1965v020n03ABEH001184. Eskin, Gregory (1977). "Parametrix and propagation of singularities for the interior mixed hyperbolic problem". Journal d'Analyse Mathématique. 32 (1): 17–62. doi:10.1007/BF02803574. S2CID 121083501. Eskin, G. (2006). "A new approach to hyperbolic inverse problems". Inverse Problems. 22 (3): 815–831. arXiv:math/0505452. Bibcode:2006InvPr..22..815E. doi:10.1088/0266-5611/22/3/005. S2CID 7160768. Eskin, Gregory (2015). "Aharonov-Bohm effect revisited". Rev. Math. Phys. 27 (2): 1530001–113. arXiv:1504.04784. Bibcode:2015RvMaP..2730001E. doi:10.1142/S0129055X15300010. S2CID 119589778.

Books Краевые задачи для эллиптических псевдодифференциальных уравнений (Boundary problems for elliptic pseudodifferential equations) М.: Наука, (Moscow, Nauka) 1973. — 232 p. Boundary Value Problems for Elliptic Pseudodifferential Equations. American Mathematical Society, 2008. — 375 p. Lectures on Linear Partial Differential Equations. American Mathematical Society, 2011. — 410 p.

References

Worked examples

Example 1 — a first encounter with Gregory Eskin

Start with the simplest possible case. Write down what Gregory Eskin claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Gregory Eskin before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Gregory Eskin ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Gregory Eskin

In research: Gregory Eskin appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Gregory Eskin in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Gregory Eskin is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1936 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Gregory Eskin outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Gregory Eskin in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Gregory Eskin means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Gregory Eskin out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Gregory Eskin in simple terms?

Why does Gregory Eskin matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Gregory Eskin?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Gregory Eskin.